40825942441984

Names of 40825942441984

• Cardinal: 40825942441984 can be written as Forty trillion, eight hundred twenty-five billion, nine hundred forty-two million, four hundred forty-one thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 4.0825942441984 × 10¹³

Factors of 40825942441984

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 437

Divisors of 40825942441984

• Number of divisors d(n): 342
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 256 266 304 392 409 448 512 532 608 784 818 896 931 1024 1064 1216 1568 1636 1792 1862 2048 2128 2432 2863 3136 3272 3584 3724 4096 4256 4864 5726 6272 6544 7168 7448 7771 8192 8512 9728 11452 12544 13088 14336 14896 15542 16384 17024 19456 20041 22904 25088 26176 28672 29792 31084 32768 34048 38912 40082 45808 50176 52352 54397 57344 59584 62168 65536 68096 77824 80164 91616 100352 104704 108794 114688 119168 124336 131072 136192 155648 160328 167281 183232 200704 209408 217588 229376 238336 248672 262144 272384 311296 320656 334562 366464 380779 401408 418816 435176 458752 476672 497344 544768 622592 641312 669124 732928 761558 802816 837632 870352 917504 953344 994688 1089536 1170967 1245184 1282624 1338248 1465856 1523116 1605632 1675264 1740704 1835008 1906688 1989376 2179072 2341934 2490368 2565248 2676496 2931712 3046232 3178339 3211264 3350528 3481408 3813376 3978752 4358144 4683868 4980736 5130496 5352992 5863424 6092464 6356678 6422528 6701056 6962816 7626752 7957504 8196769 8716288 9367736 10260992 10705984 11726848 12184928 12713356 12845056 13402112 13925632 15253504 15915008 16393538 17432576 18735472 20521984 21411968 22248373 23453696 24369856 25426712 26804224 27851264 30507008 31830016 32787076 34865152 37470944 41043968 42823936 44496746 46907392 48739712 50853424 53608448 55702528 61014016 63660032 65574152 74941888 82087936 85647872 88993492 93814784 97479424 101706848 107216896 111405056 122028032 127320064 131148304 149883776 155738611 164175872 171295744 177986984 187629568 194958848 203413696 222810112 244056064 254640128 262296608 299767552 311477222 328351744 342591488 355973968 375259136 389917696 406827392 445620224 509280256 524593216 599535104 622954444 656703488 685182976 711947936 750518272 779835392 813654784 891240448 1018560512 1049186432 1199070208 1245908888 1313406976 1370365952 1423895872 1559670784 1627309568 1782480896 2037121024 2098372864 2398140416 2491817776 2626813952 2740731904 2847791744 3119341568 3254619136 3564961792 4196745728 4796280832 4983635552 5253627904 5481463808 5695583488 6238683136 6509238272 7129923584 8393491456 9592561664 9967271104 10962927616 11391166976 12477366272 13018476544 14259847168 16786982912 19185123328 19934542208 21925855232 22782333952 24954732544 26036953088 33573965824 38370246656 39869084416 43851710464 45564667904 49909465088 52073906176 67147931648 76740493312 79738168832 91129335808 99818930176 104147812352 134295863296 153480986624 159476337664 182258671616 208295624704 268591726592 306961973248 318952675328 364517343232 416591249408 537183453184 637905350656 729034686464 833182498816 1074366906368 1275810701312 1458069372928 2148733812736 2551621402624 2916138745856 5103242805248 5832277491712 10206485610496 20412971220992 40825942441984
• Sum of all divisors σ(n): 100226760901380
• Sum of proper divisors (its aliquot sum) s(n): 59400818459396
• 40825942441984 is an abundant number, because the sum of its proper divisors (59400818459396) is greater than itself. Its abundance is 18574876017412

Bases of 40825942441984

• Binary: 1001010010000110000111110011000000000000000000₂
• Hexadecimal: 0x252187CC0000
• Base-36: EGZ6G19TS

Squares and roots of 40825942441984

• 40825942441984 squared (40825942441984²) is 1666757576276190493205856256
• 40825942441984 cubed (40825942441984³) is 68046948873792509649429460516890323451904
• The square root of 40825942441984 is 6389518.1697827579
• The cube root of 40825942441984 is 34433.3073949751

Scales and comparisons

• 40,825,942,441,984 seconds is equal to 1,298,138 years, 35 weeks, 4 days, 23 hours, 13 minutes, 4 seconds.
• To count from 1 to 40,825,942,441,984 would take you about three million, two hundred forty-five thousand, three hundred forty-six years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 40825942441984 cubic inches would be around 2869.4 feet tall.

Recreational maths with 40825942441984

• 40825942441984 backwards is 48914424952804
• 40825942441984 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40825942441984's digits is 64
• More coming soon!